Home
Class 12
MATHS
Let f(x)=x^2+p x-2,g(x)=p x^2+x+(p+2)AAx...

Let `f(x)=x^2+p x-2,g(x)=p x^2+x+(p+2)AAx in R,` where p is a real constant. If `f(x)> g(x) AA x in R,` then the range of p is `(-oo,-m/n)` where m and n are coprime. Find the value of `(m-5n).`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x)=p[x]+qe^(-[x])+r|x|^(2) , where p,q and r are real constants, If f(x) is differential at x=0. Then,

Let f(x)=p[x]+qe^(-[x])+r|x|^(2) , where p,q and r are real constants, If f(x) is differential at x=0. Then,

If (x - p)/(x^(2) - 3x + 2) takes all real values for x in R then the range of P is

If (x - p)/(x^(2) - 3x + 2) takes all real values for x in R then the range of P is

If f:(2,-oo) -> [8, oo) is a surjective function defined by f(x) = x^2 - (p-2)x + 3p-2,p in R then sum of values of p is m+sqrtn , where m, n in N . Find the value of n/m .

Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} B={x|2^(1-x)+p le 0;x^2-2(p+7)x+5 le 0} If A subB, then the range of real number p in [a,b] where, a,b are integers. Find the value of (b-a).

Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} B={x|2^(1-x)+p le 0;x^2-2(p+7)x+5 le 0} If A subB, then the range of real number p in [a,b] where, a,b are integers. Find the value of (b-a).

Let f(x)=-x^(2)+x+p , where p is a real number. If g(x)=[f(x)] and g(x) is discontinuous at x=(1)/(2) , then p - cannot be (where [.] represents the greatest integer function)